Backward Error Bounds for Approximate Krylov Subspaces

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Abstract

Let $A$ be a matrix of order $n$ and let $\clu\subset\comp^{n}$ be a
subspace of dimension $k$. In this note we determine a matrix $E$ of
minimal norm such that $\clu$ is a Krylov subspace of $A+E$.
(Cross-referenced as UMIACS-TR-2001-32)